An alternating shifted higher order power method based algorithm for rank-\(R\) Hermitian approximation and solving Hermitian CP-decomposition problems
type: Item
instance of: scholarly article
title: An alternating shifted higher order power method based algorithm for rank-\(R\) Hermitian approximation and solving Hermitian CP-decomposition problems
author: Xiaofang Xin
author: Guyan Ni
author: Ying Li
published in: Journal of Computational and Applied Mathematics
publication date: 2025-01-16T00:00:00Z
Mathematics Subject Classification ID: 15A69
Mathematics Subject Classification ID: 65K10
zbMATH DE Number: 7968696
zbMATH Keywords: Hermitian tensor
zbMATH Keywords: rank-\(R\) approximation
zbMATH Keywords: alternate algorithm
zbMATH Keywords: higher order power method
MaRDI profile type: Publication
cites work: Tensor Decompositions and Applications
cites work: Multivariate Regression and Machine Learning with Sums of Separable Functions
cites work: Generalized Canonical Polyadic Tensor Decomposition
cites work: Analysis of individual differences in multidimensional scaling via an \(n\)-way generalization of ``Eckart-Young'' decomposition
cites work: Geometric measure of entanglement and U-eigenvalues of tensors
cites work: Hermitian Tensor Decompositions
cites work: Separability of Hermitian tensors and PSD decompositions
cites work: Low Complexity Damped Gauss--Newton Algorithms for CANDECOMP/PARAFAC
cites work: Q5491447
cites work: Tensor Rank and the Ill-Posedness of the Best Low-Rank Approximation Problem
cites work: Complex best \(r\)-term approximations almost always exist in finite dimensions
cites work: On the Best Rank-1 and Rank-(R1 ,R2 ,. . .,RN) Approximation of Higher-Order Tensors
cites work: On the best rank-1 approximation of higher-order supersymmetric tensors
cites work: Shifted Power Method for Computing Tensor Eigenpairs
cites work: Spherical optimization with complex variables for computing US-eigenpairs
cites work: Iterative algorithms for computing US- and U-eigenpairs of complex tensors
cites work: Iterative methods for computing U-eigenvalues of non-symmetric complex tensors with application in quantum entanglement
cites work: Unconstrained Optimization of Real Functions in Complex Variables
cites work: A descent cautious BFGS method for computing US-eigenvalues of symmetric complex tensors
DOI: 10.1016/J.CAM.2024.116385
description: scientific article; zbMATH DE number 7968696